Find the inverse of fx 3x452 Please show the solution steps

Find the inverse of f(x) = ((3x-4)/(5))+2

Please show the solution steps

f(x) = ((3x-4)/(5))+2

y = ((3x-4)/(5))+2

To find inverse , plug x= y and y=x then solve for y:

x = (3y -4)/5 +2

(x-2) = (3y -4)/5

5(x-2) = 3y -4

3y = 5x- 10 +4 = 5x -6

y = (5x -6)/3

So, f^-1(x) = (5x -6)/3